Categorizing and Promoting Reversibility of Mathematical Concepts

Autor/inn/en	Simon, Martin A.; Kara, Melike; Placa, Nicora; Sandir, Hakan
Titel	Categorizing and Promoting Reversibility of Mathematical Concepts
Quelle	In: Educational Studies in Mathematics, 93 (2016) 2, S.137-153 (17 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0013-1954
DOI	10.1007/s10649-016-9697-4
Schlagwörter	Mathematical Concepts; Mathematics Instruction; Classification; Concept Formation; Teaching Methods + Suchen Sie Ihr Suchwort? Mathematics lessons; Mathematikunterricht; Classification system; Klassifikation; Klassifikationssystem; Concept learning; Begriffsbildung; Teaching method; Lehrmethode; Unterrichtsmethode
Abstract	Reversibility of concepts, a key aspect of mathematical development, is often problematic for learners. In this theoretical paper, we present a typology we have developed for categorizing the different reverse concepts that can be related to a particular initial concept and explicate the relationship among these different reverse concepts. We discuss uses of the typology and how reversibility can be understood as the result of reflective abstraction. Finally, we describe two strategies for promoting reversibility that have distinct uses in terms of the types of reverse concepts they engender. We share empirical results which led to our postulation of these strategies and discuss their theoretical basis. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2020/1/01